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Finding the Fourth Proportional to 1,173.02, 1,618.83 and 675.81

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Solution

The fourth proportional to 1,173.02, 1,618.83 and 675.81 is: 932.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,173.02 : 1,618.83 = 675.81 : x
  2. Step 2: Convert to fraction form
    1,173.02/1,618.83 = 675.81/x
  3. Step 3: Cross multiply
    1,173.02x = 1,618.83 × 675.81
  4. Step 4: Simplify right side
    1,173.02x = 1,094,021.50
  5. Step 5: Solve for x
    x = 1,094,021.50/1,173.02
  6. Step 6: Final answer
    x = 932.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.